Insulation is not sufficent? we can cools homes with stable ground temperatures now, the earth itself is good enough insulation.

Pretty much the reason for 21st century climate change is that the planet has no place to dump heat once we wall off space with greenhouse gasses. If you come up with a place, please share! :-)

I was thinking about something like a CPU and insulation paste. You could pump the entire heat into the top of the habitat, where the insulation paste is placed, then just move the heat outside with the help of a big fan.

You don't need a window specifically to dump heat. A pipe will do. In fact, a number of today's aircon units come with a pipe. If the apartments have running water, electricity or plumbing, they already have pipes (although perhaps not the right type of pipes, that go where they need to, yet).

Also, isn't producing the heat something equivalent to producing energy? Would it be possible to convert that heat into energy that could be used on a daily basis?

@Ambu there are peltiers which generate electricity due to an extreme difference in temperatures but there isn't a way to "suck" the heat out of a room to give you both a cool room and excess electricity.

@ambu Heat is the end result of using energy. While there are methods of using heat to generate energy, they all require a cooler place for the heat to go. Heat pumps just move heat around rather than using it up. And they generate even more heat while working.

Underground is NOT cooler! It is the average surface temperature at moderate depths, and hotter at very deep depths. Since we are a diurnal species we tend to enter caves when it is hotter outside.

What's your level of technological advancement? If your physicists have figured out how to create wormholes or portals, then use them as heat dumps.

What is wrong with simply dumping the heat outside? have you ever seen central air?

This reminds me of Dune...

We can already make tiny black holes. What if they made a tiny stable black hole, and put the heat there?

Isn't this a solved problem in places like Coober Pedy and other remote desert settlements?

Tal, could you be more specific about that? How to cool a room without a place to dump the heat Whether it's a window or what shouldn't matter but with nowhere to dump the heat, aren't you on a hiding to nothing? Isn't one on the major differences between heat and, say, light or sound that you can easily shade light and baffle sound so the one is masked or the other destroyed… Hiding your heat in a fridge will work only so long as either the fridge has an outlet, or if this is only a short-to-medium term exercise and the fridge doesn't have time to warm up…

@MooingDuck: "We can already make tiny black holes": [citation needed]

Am I missing something here? Just give everyone ACs. You don't need "dump heat", whatever that means, you just need to pump cool air in. You can do this using a regular AC with piping that connects outside. Just like places do today.

Hey everybody! ALL air conditioners generate heat that must be put somewhere. If the solution is to move the heat outside, with a pipe, window, heat sink, or into the wastewater; that's an answer, but it's an answer to the wrong question. The question is how to cool a room WITHOUT a place to dump the heat. Even if you have an indoor box to put the heat into, letting the box get hotter and hotter until it's hot enough to melt steel, you're still putting it SOMEWHERE. Didn't any of you actually read the OP?

@spacetyper While the text says "window", the title says "place" and per the laws of thermodynamics you have to put the heat SOMEWHERE.

The top voted answer is less correct than the second most popular at the moment - a heat pump will always work , just not very efficiently. Your heat pump relies on expanding very large volumes of fluid/gas , so that heat is lost to the environment during expansion.

What about a bunch of endothermic reactions? They could convert heat into a chemical reaction and store it that way. Just need to find an endothermic reaction that runs at room temperature.